scholarly journals Modeling of regular eutectic growth of binary alloy basedon cellular automaton method

2011 ◽  
Vol 60 (5) ◽  
pp. 058103
Author(s):  
Wu Meng-Wu ◽  
Xiong Shou-Mei
2008 ◽  
Vol 1128 ◽  
Author(s):  
Kenichi Ohsasa ◽  
Seiji Miura

AbstractA numerical model was developed for the simulation of microstructure evolution during the solidification of Nb-Si eutectic alloy. In this model, the cellular automaton method was used to simulate the eutectic growth of Nb solid solution and Nb3Si intermetallics. Diffusion in liquid, mass conservation at the solid/liquid interface and local equilibrium at the solid/liquid interface with consideration of curvature undercooling were solved to determine the positions of the Nb/liquid and Nb3Si/liquid interfaces. In the alloy with eutectic composition of 0.18at%Nb, irregular eutectic growth morphology was observed in relatively lower undercooling region. On the other hand, in higher undercooling region over 50K, dendrite morphology of Nb3Si was observed. An alloy with hypo-eutectic composition, cell and dendrite morphology were observed in lower undercooling region, while coupling eutectic morphology was formed in higher undercooling region over 25K.The growth velocity of the coupling growth increased with increase in the degree of undercooling of melt.


2016 ◽  
Vol 16 (1) ◽  
pp. 99-106 ◽  
Author(s):  
A. Zyska ◽  
Z. Konopka ◽  
M. Łągiewka ◽  
M. Nadolski

Abstract A numerical model of binary alloy crystallization, based on the cellular automaton technique, is presented. The model allows to follow the crystallization front movement and to generate the images of evolution of the dendritic structures during the solidification of a binary alloy. The mathematic description of the model takes into account the proceeding thermal, diffusive, and surface phenomena. There are presented the results of numerical simulations concerning the multi-dendritic growth of solid phase along with the accompanying changes in the alloying element concentration field during the solidification of Al + 5% wt. Mg alloy. The model structure of the solidified casting was achieved and compared with the actual structure of a die casting. The dendrite interaction was studied with respect to its influence on the generation and growth of the primary and secondary dendrite arms and on the evolution of solute segregation both in the liquid and in the solid state during the crystallization of the examined alloy. The morphology of a single, free-growing dendritic crystal was also modelled. The performed investigations and analyses allowed to state e.g. that the developed numerical model correctly describes the actual evolution of the dendritic structure under the non-equilibrium conditions and provides for obtaining the qualitatively correct results of simulation of the crystallization process.


2018 ◽  
Vol 74 (2) ◽  
pp. I_749-I_754
Author(s):  
Takuya YOKOTA ◽  
Akio KOBAYASHI ◽  
Takaaki UDA ◽  
Atsunari KATSUKI ◽  
Yasuhito NOSHI

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